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Finding the Third Proportional to 732,299,133 and 1,105,258,674

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Solution

The third proportional to 732,299,133 and 1,105,258,674 is: 1,668,166,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,299,133 : 1,105,258,674 = 1,105,258,674 : x
  2. Step 2: Convert to fraction form
    732,299,133/1,105,258,674 = 1,105,258,674/x
  3. Step 3: Cross multiply
    732,299,133x = 1,105,258,674 × 1,105,258,674
  4. Step 4: Simplify right side
    732,299,133x = 1,221,596,736,452,238,336
  5. Step 5: Solve for x
    x = 1,221,596,736,452,238,336/732,299,133
  6. Step 6: Final answer
    x = 1,668,166,301.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.